document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1159924>Question 1159924</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 	1. A school’s faith awareness group consists of 15 students and 3 teachers.  If four members of the group are randomly chosen to go on a retreat, determine the probability of selecting three students.\r<BR>\n" );
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document.write( "2. a. Determine the probability distribution, in table form and graphical form, for the number of students selected to be in a six-person fund-raising committee from 9 students and 11 teachers.\r<BR>\n" );
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document.write( "      b. What is the expected number of students on the committee? <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #783046 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=783046\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the total number of ways to select 4 from 18 is 18C4, and that is the denominator<BR>\n" );
document.write( "the numerator for 3 students is 15C3 *3C1 for the teacher.  Note the left of C add up to the left of C in the denominator, and the same to the right of C.<BR>\n" );
document.write( "=455*3/3060=0.4461 probability of selecting 3 students.\r<BR>\n" );
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document.write( "for 0, it is 9C0*11C6/20C6=462/38760=0.0119<BR>\n" );
document.write( "for 1, it is 9C1*11C5/38760=4158/38760=0.1073<BR>\n" );
document.write( "for 2, 11880/38760=0.3065<BR>\n" );
document.write( "for 3, 9C3*11C3/38760=0.3576<BR>\n" );
document.write( "for 4, 9C4*11C2/38760=6940/38760=0.1788<BR>\n" );
document.write( "for 5, 9C5*11C1/38760=0.0358<BR>\n" );
document.write( "for 6, probability is 0.0022\r<BR>\n" );
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document.write( "expected value of students is sum of number * probability<BR>\n" );
document.write( "=0+0.1073+.6130+1.0728+0.7032+0.1790+0.0132=2.6885 students. </SPAN>\n" );
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